Answer:
[tex]1\frac{10}{27}[/tex]
Step-by-step explanation:
It's just:
[tex]6 \frac{1}{6} *\frac{2}{9}=\\[/tex]
[tex]\frac{37}{6} *\frac{2}{9} =[/tex]
[tex]\frac{74}{54} =[/tex]
[tex]\frac{37}{27} =[/tex]
[tex]1\frac{10}{27}[/tex]
Hope this helps and is correct.
The reciprocal of two less than a certain number is twice the reciprocal of the number itself. What is the number?
Answer:
Number is 4
Step-by-step explanation:
Given: reciprocal of two less than a certain number is twice the reciprocal of the number itself
To find: The number
Solution:
Let the number be x
Reciprocal of two less than a certain number = [tex]\frac{1}{x-2}[/tex]
Reciprocal of the number itself = [tex]\frac{1}{x}[/tex]
According to question,
[tex]\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4[/tex]
So, number is 4
Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of all adults that have high blood pressure.
Answer:
The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < [tex]\hat{p}[/tex] < 0.314695
Step-by-step explanation:
The confidence interval for a proportion is given by the following formula;
[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]
Where:
x = 33
n = 136
[tex]\hat{p}[/tex] = x/n = 33/136 = 0.243
z value for 95% confidence is 1.96
Plugging in the values, we have;
[tex]CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}[/tex]
Which gives;
0.17059 < [tex]\hat{p}[/tex] < 0.314695
Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < [tex]\hat{p}[/tex] < 0.314695
From the above we have;
23.2 < x < 42.798
Since we are dealing with people, we round down as follows;
23 < x < 42.
Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 18 inches 19 inches 24 inches 25 inches
Answer:
19 inches is the correct answer.
Step-by-step explanation:
Side 1 = 10 inches
Side 2 = 15 inches
It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than [tex]90^\circ[/tex].
Let us suppose, that the triangle be a right angle triangle, then the largest angle will be [tex]90^\circ[/tex]. The largest side is known as Hypotenuse.
As per pythagoras theorem:
[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]
[tex]\Rightarrow 10^{2} + 15^{2} = Hypotenuse^2\\\Rightarrow 325 = Hypotenuse^2\\\Rightarrow Hypotenuse = 18.04\ inches[/tex]
So, largest side comes out be 18.04 inches.
But actually, the largest angle is more than [tex]90^\circ[/tex] so the largest side will also be greater than 18.04 inches.
Hence, the answer is:
Smallest possible whole number length of unknown side will be 19 inches.
Answer:
I did the test and thecorrect option was 18.
Square root of 0.925
Answer:
0.9617
Step-by-step explanation:
√0.925
= 0.9617
Answer:
the answer is 0.96176920308
Step-by-step explanation:
do you need working hope it helps I would have answered first but I wanted to ask whether you needed workings.
The parallelogram shown below has an area of 30 units2
Answer:
6
Step-by-step explanation:
The formula for the area of a parallelogram is the base times height.
We know the base is 5, and the area is 30, so:
5x=30
x= 6
So the height is 6
Answer:
The area of a parallelogram is A= bh so since the base is 5, the height is 6
6 x 5 = 30^2
Step-by-step explanation:
Which of the following statement justifies why the triangle shown below is not a right triangle?
Answer:
The correct answer is A. [tex]4^{2} +12^{2} \neq 13^{2}[/tex]
Step-by-step explanation:
A right angled triangle is the type of triangle in which one of the three angles is [tex]90^\circ[/tex].
For a triangle to be right angled triangle, following equation must hold:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Where Hypotenuse is the largest side of triangle and is opposite to the angle with value [tex]90^\circ[/tex].
Base and Height are the two other sides making an angle of [tex]90^\circ[/tex] with each other.
In the given question figure, largest side, XY = 13 units
Other two sides are:
YZ = 4 units
XZ = 12 units
For this [tex]\triangle XYZ[/tex] to be right angled, the following must be true:
[tex]XY^{2} = XZ^{2} + YZ^{2}[/tex]
[tex]XY^{2} = 13^{2} = 169[/tex]
[tex]XZ^{2} + YZ^{2} = 12^{2} + 4^{2}\\\Rightarrow 144 + 16\\\Rightarrow 160[/tex]
[tex]160 \neq 169[/tex]
Hence, the given triangle is not a right angled triangle because of following:
[tex]4^{2} +12^{2} \neq 13^{2}[/tex]
Hence, option A. is correct answer.
Answer:
its A
Step-by-step explanation:just took test and got 100%
In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the loan is repaid, as it appears in the following formula? P = P V times StartFraction i over 1 minus (1 + i) superscript negative n EndFraction
a.5
b.12
c.60
d.120
The answer is C,60
Answer:
C
Step-by-step explanation:
EDGE2021
The value should be used for n, the number of periods over which the loan is repaid in 60 periods.
What formula is used to calculate the monthly payment?The value of the monthly payment is given by;
P = PV × i / 1-(1+i)⁻ⁿ
Where,
PV is the present value or the amount of the loan.
i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.
n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.
Therefore,
The value should be used for n, the number of periods over which the loan is repaid;
n = 6 years × 12 months/year = 60 months = 60 periods.
Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.
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select the number closest in value to 19.7/0.0485
A. 4
B. 40
C. 400
D. 4000
Answer:
[tex]C.[/tex] [tex]400[/tex]
Step-by-step explanation:
[tex]19.7/0.0485[/tex]
[tex]=406.18556701030927835051546391752577319587628865979381443298969[/tex]
The number closest in value to 19.7/0.0485 is 400.
The correct option is C.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
We have the expression,
19.7/0.0485 = 406.1855
From the options,
400 is closest to 406.1855.
Therefore, 400 is closest to 406.1855.
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Simon offered a customer a cubic box with 3-inch sides. The customer told Simon to increase each side of the box by an inch
Answer:
64 [tex]in^{3}[/tex]
Step-by-step explanation:
The volume of a cubic box with side length of s inches can be calculated using the following formula
[tex]V = s^{3} in^{3}[/tex]
If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)
[tex]V = 4^{3} in^{3} = 64 in^{3}[/tex]
Therefore the final and new volume is
64 [tex]in^{3}[/tex]
Answer:
The volume of the new box is 64 cubic inches. If each side of the box was increased by 1 inch, the new measure of each side would be 4 inches. 4 times 4 times 4 equals 64.
The length of a rectangle if the length is twice the size of the width increased by one
Answer:
I'm not confident on this but:
L = 2(W + 1)
Hopefully this might help somewhat :]
L: Length
W: Width
Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy? 2 bottles 5 bottles 20 bottles 25 bottles
Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?
2 bottles
5 bottles
20 bottles
25 bottle
the is c 20 bottles
20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below and answer the following question. What is the mean number of apples in a box?
Answer:
30 apples
Step-by-step explanation:
600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.
The mean number of apples is the result of dividing the product of frequency and number of apples and f in the table given. Hence, the mean number of apples is 30
The sum of frequency = (2 + 4 + 8 + 4 + 2) = 20
The sum of fx = (56 + 116 + 240 + 124 + 64) = 600
The mean number of apples can be calculated using the values obtained thus :
Mean = fx ÷ f
Mean = 600 ÷ 20
Mean = 30
Therefore, the mean number of apples in a box is 30
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write the expression in factored form. m2 + 22m + 121
Answer:
(m+11)^2
Step-by-step explanation:
break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.
m^2+22m+121
m^2+11m+11+121
Factorize the first 2 terms then the next 2 terms.
m^2+11m = m(m+11)
11m+121 = 11(m+11)
Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.
(m+11)(m+11) = (m+11)^2
Hope this helps
Good Luck
Find the equation of the line. Use exact numbers. y= x+ i cant get a picture of the graph so x on the graph is 2 and y on the graph is 3
Answer: y = x + 1
Step-by-step explanation:
This is poorly written, but as i understand:
We have the general equation:
y = x + i
where i is a constant, and we want this function to pass through the point x = 2 and y = 3.
Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get
y = 3 = x + i = 2 + i
3 = 2 + i
3 - 2 = i
1 = i
So our equation is y = x + 1
Answer the question in the file, please.
Answer:
The answer is 41/25000
Step-by-step explanation:
P(A)=41/100
P(B)=1/10
P(AB)=1/25
P(A,B and AB)=41/100 * 1/10 * 1/25
=41/25000
A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 centimeters long, 6 centimeters wide, and 4 centimeters cm tall. If they used 13,000cm³ of concrete, how many bricks did they make?
Answer: 54 bricks
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a rectangular prism (V) : length x width x height
Replacing with the values given and solving for v (Volume)
V = 10 x 6 x 4
V = 240 cm3 (volume of one brick)
Finally, we have to divide the amount of concrete used by the volume of each brick:
13,000cm³ /240 cm3 = 54.16 = 54 bricks
Feel free to ask for more if needed or if you did not understand something
..........................................
Answer:
.........................................
Step-by-step explanation:
.........................................
The formula for density is given by p equals StartFraction M Over V EndFraction, where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?
Answer:
B
Step-by-step explanation:
Which of the following shows the correct first step for finding the midpoint between the points (2,2) and (-1, 5)
Answer:
A
Step-by-step explanation:
By adding both the x and y coordinates individually and dividing them by two u get the mid point
please help. right answer will be brainliest.
Question 12(Multiple Choice Worth 5 points)
(05.02 LC)
What is the area, in square units, of the parallelogram shown below?
A
В
6 units
D
C
-4 units
O 12 square units
18 square units
O 24 square units
36 square units
Answer:
24 square units
Step-by-step explanation:
6×4=24
Answer:
24 square units
Step-by-step explanation:
How can I do 10(a)(ii) and 10(b)?n
Answer:
Step-by-step explanation:
10(a) (ii)=-10a
10 (b)=10b
n=10b
1. Julie went to the store to buy a pair of pants. The pants
are
normally $39.95. This week they are on sale for 25%
off the
regular price. What is the sale price?
2. During Little League baseball, the Tigers and the Cubs
finished the season atop the division. The Tigers won
11 games and lost 4. Because of a couple of rainouts,
the Cubs won 10 games and lost 3. Find percent of the
games both teams won.
3. The price of a stock was $52.63 when the stock market
opened. It rose to $61.50 when the stock market
closed. Find the percent of increase of the stock price
during the day.
4. In Kendra's school, 28 percent of seven graders went
to a movie theater over the weekend. If there are 800
students in the seventh grade, how many of them saw
a movie?
Answer:
Step-by-step explanation:
1) Let x represent the sale price.
normal price = $39.95. This week they are on sale for 25% off the regular price. The amount taken off is
25/100 × 39.95 = 9.9875
Sale price = 39.95 - 9.9875 = $29.9625
2) number of games played by the tigers is 11 + 4 = 15
Percentage of games won is
11/15 × 100 = 73.3%
number of games played by the cubs is 10 + 3 = 13
Percentage of games won is
10/13 × 100 = 76.9%
3) increase in stock price = 61.5 - 52.63 = $8.87
Percentage increase = 8.87/52.63 × 100 = 16.85%
4) if 28 percent of seven graders went
to a movie theater over the weekend and there are 800 students in the seventh grade, then the number of seven graders that saw
the movie is
28/100 × 800 = 224
Please help asap! giving brainliest!!! The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour.
Answer:
Hello There. The correct option is
b.) The data in country B are more symmetric than the data in country A.
Step-by-step explanation:
The statements describes the symmetry of the data in the two box plots
a.) The data in country A are more symmetric than the data in country B.
b.) The data in country B are more symmetric than the data in country A.
c.) The data in both countries have about the same symmetry.
d.) The symmetry of the data cannot be determined by looking at the box.
Hope It Helps!
Step-by-step explanation:
The correct statement about the median will be the following which is calculated from average wind speeds as:
The median wind speed for country B is greater than the median wind speed for country A.The median wind speed for A is about 7 miles.The median wind speed for B is about 9 miles.What is median?
It is the center most number of the data available to us which divides the data in 2 equal parts.
How to calculate median?
We have been given the average wind speeds of two countries.
Median of country A =(1+9.5)/2 th term in the box
=5.25th term in the box which is 7.
Median of country B=(1.2+11)/2
=6.1 th term which is 9.
Hence median of country B is greater than median of country A and value of median A is 7 and of B is 9.
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If Marla's garden is 5 feet
long and 3 feet wide,
what is the area of her
garden?
Answer:
15
Step-by-step explanation:
the formula for area is l×w=a so when you multiply the length with the width, you get 15.
Answer:
15 feet
Step-by-step explanation:
Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft
find the value of x part 2
Answer:
x= -10
Step-by-step explanation:
Please see attached picture for full solution.
Write an inequality that compares-6, 3, and 5
Is that 6 or negative 6? I'll do both situations, as I can't tell (sorry!)
With negative 6:
-6 < 3 < 5
With positive 6:
3 < 5 < 6
2x3y + 8xy − 4x2y − 16y how to I rewrite by taking out the GCF?
Recreate the Unit circle below. Label in both degree and radians and identify the points (cosx, sinx). Are there any patterns that will help you remember all the points?
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
11.5 years old
Step-by-step explanation:
Let's call Michael's current age m, and Brandon's current age b.
m=3b
m-18=9(b-9)
Substituting:
3b-18=9(b-9)
3b-18=9b-81
6b=63
b=11.5
Hope this helps!
A chemical company makes two brands of antifreeze. The first brand is 40%pure antifreeze, and the second brand is 90%pure antifreeze. In order to obtain 160
Complete question:
A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 90% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
Amount of 40% pure antifreeze = y = 96gallons
Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons
Step-by-step explanation:
Brand A = 40% pure
Brand B = 90% pure
Therefore to obtain 160 gallons that contains 60% pure antibfreeze:
Let y = Amount of 40% pure antifreeze required
Therefore (160 - y) = Amount of 90% pure antifreeze required.
Expressing mathematically,
0.4y + (160 - y) (0.9) = 160×0.6
0.4y + 144 - 0.9y = 96
-0.5y = 96 - 144
-0.5y = - 48
y = 48 / 0.5
y = 96
Amount of 40% pure antifreeze = y = 96gallons
Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons